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Finding the Fourth Proportional to 4,949.12, 6,830.88 and 3,458

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Solution

The fourth proportional to 4,949.12, 6,830.88 and 3,458 is: 4,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.12 : 6,830.88 = 3,458 : x
  2. Step 2: Convert to fraction form
    4,949.12/6,830.88 = 3,458/x
  3. Step 3: Cross multiply
    4,949.12x = 6,830.88 × 3,458
  4. Step 4: Simplify right side
    4,949.12x = 23,621,183.04
  5. Step 5: Solve for x
    x = 23,621,183.04/4,949.12
  6. Step 6: Final answer
    x = 4,772.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.